Keystones — Capstone
Five GCSE retrieval questions · 26 July 2025 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √162
Answer: 9√2 -
2. Algebra Completing the square
Complete the square: x² + 6x
Answer: (x + 3)² - 9 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 13cm, b = 15cm, angle = 67°
Answer: 89.7cm² -
4. Ratio Combining two ratios
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 6:4:6 -
5. Statistics Averages and range
Find the mean, median and range of: 51, 99, 61, 88, 50, 90, 37, 62
Answer: Mean = 67.3, Median = 62, Range = 62